F'=(sin x^3/2)'-(cos^2 20x/10sin10x)'=Cos x^3/2*3/2x^1/2-((cos^2 20x)'*10sin10x-Cos^2 20x*(10sin10x)')/100Sin^2 10x=3/2*x^1/2*Cosx^3/2-(-40Cos20xSin20x*10sin10x-Cos^2 20x*100Cos10x)/100sin^2 10x=3/2*x^1/2*Cosx^3/2+(4Cos20xSin20xsin10x+Cos^2 20xCos10x)/sin^2 10x